Another quick rehash at the tpl level, but this time to specifically remove the product name on just the product page...
PHP Code:
{strip}
{section name=position loop=$location}
{if not %position.last%}
{if $location[position].1 ne "" }<a href="{$location[position].1|amp}" class="NavigationPath">{/if}
{$location[position].0}
{if $location[position].1 ne "" }</a> > {/if}
{elseif not $product}
{if $location[position].1 ne "" }<a href="{$location[position].1|amp}" class="NavigationPath">{/if}
{$location[position].0}
{if $location[position].1 ne "" }</a> > {/if}
{/if}
{/section}
{/strip}
Might want to clean up the if statements though. Some of the section's attributes might produce cleaner code but unable to make it work at the moment.